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Simplifying 6 + 4a + -1(3a + 8) + -1(5a + 5) = 0 Reorder the terms: 6 + 4a + -1(8 + 3a) + -1(5a + 5) = 0 6 + 4a + (8 * -1 + 3a * -1) + -1(5a + 5) = 0 6 + 4a + (-8 + -3a) + -1(5a + 5) = 0 Reorder the terms: 6 + 4a + -8 + -3a + -1(5 + 5a) = 0 6 + 4a + -8 + -3a + (5 * -1 + 5a * -1) = 0 6 + 4a + -8 + -3a + (-5 + -5a) = 0 Reorder the terms: 6 + -8 + -5 + 4a + -3a + -5a = 0 Combine like terms: 6 + -8 = -2 -2 + -5 + 4a + -3a + -5a = 0 Combine like terms: -2 + -5 = -7 -7 + 4a + -3a + -5a = 0 Combine like terms: 4a + -3a = 1a -7 + 1a + -5a = 0 Combine like terms: 1a + -5a = -4a -7 + -4a = 0 Solving -7 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = 0 + 7 -4a = 0 + 7 Combine like terms: 0 + 7 = 7 -4a = 7 Divide each side by '-4'. a = -1.75 Simplifying a = -1.75
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